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3140049024 = 27337315379
BaseRepresentation
bin1011101100101001…
…0101100010000000
322002211120000111000
42323022111202000
522412323032044
61235330052000
7140545655610
oct27312254200
98084500430
103140049024
111371526342
1273771a000
133b070ac98
1421b060a40
15135a09d69
hexbb295880

3140049024 has 512 divisors, whose sum is σ = 11280384000. Its totient is φ = 841052160.

The previous prime is 3140049023. The next prime is 3140049047. The reversal of 3140049024 is 4209400413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3140049023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39747417 + ... + 39747495.

It is an arithmetic number, because the mean of its divisors is an integer number (22032000).

Almost surely, 23140049024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140049024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640192000).

3140049024 is an abundant number, since it is smaller than the sum of its proper divisors (8140334976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3140049024 is a wasteful number, since it uses less digits than its factorization.

3140049024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3140049024 is about 56036.1403381782. The cubic root of 3140049024 is about 1464.3519712721.

Adding to 3140049024 its reverse (4209400413), we get a palindrome (7349449437).

The spelling of 3140049024 in words is "three billion, one hundred forty million, forty-nine thousand, twenty-four".